{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cycler import cycler\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xfEpiLLExWuJWRKKHP+U+Eiju8rgEmH2sY5xzPjOrAYYAFV0PMrPFwGKA0aNH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\nRCKQyl1EJAKp3EVEIpDKXUQkAv1/4c4CNJI2nS8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x234b355c518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(-5,5,1000)  #这个表示在-5到5之间生成1000个x值\n",
    "y=[1/(1+np.exp(-i)) for i in x]  #对上述生成的1000个数循环用sigmoid公式求对应的y\n",
    "plt.plot(x,y)  #用上述生成的1000个xy值对生成1000个点\n",
    "plt.show()  #绘制图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aZqm5nK9W7ie7oJiHdd+CbTZ9B5lHjI7HKtZaOKtNeB36N6/HFyv26RFKtghs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x271564e0b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-np.pi, np.pi, 1000,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "plt.plot(X,C)\n",
    "plt.plot(X,S)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ao6JkDtRoHsTN+44o5z2aCAfIk6fybP9OAmPsBOd80vg9EuzpoOsSA1zLEnXd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\nCsb/B3pEm30dfw7EAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x271565ed278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#散点图\n",
    "n = 1024\n",
    "X = np.random.normal(0,1,n)\n",
    "Y = np.random.normal(0,1,n)\n",
    "plt.scatter(X,Y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KmOxmt2G2P4swgxq/FAH6kXIOFWvMom7oo6h431ks6wJSvoYQvgu4i/o44hhK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clG/qQO9zFGMAnxTwkkq/nylKpbTq9egcHOjuOwHEADhIJHi7ueHm5ISfQsGYoCDCo6IYGxhI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\nff4fW0OYw9fNxXoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x234b3bb0358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#3D 图\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "X = np.arange(-4, 4, 0.25)\n",
    "Y = np.arange(-4, 4, 0.25)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "#print(X,Y)\n",
    "R = np.sqrt(X**2 + Y**2)\n",
    "#print(R)\n",
    "Z = np.sin(R)\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='hot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jU2jQoCthYf+YeiM5MafST9Hv635kFqhxrtDAUNZMXEPfVqYJym1FQoJ6ic/O\nVrnm73eS6CCVNcXUz5ynCQlS9u9vPm/nK69IWWKjJNaV5GDiQbnsyDKHymCJnJyjcutWvyu5O2Nj\n51jMRWp1oqOl7NLF9D/z8JDyyy/tI0MlyMuT8q67pGzZUsrz5x0nR0HBeVlY6MCcuTVgQ+wGKeYK\nOXzpcHkxz74Zti9flrJfP8NL7D//sZyH1Z7gSmZtgT17pGze3FQ5+PtL+fPPjpNLR2J2omzzvzaS\nuciX/n1Jlmgd+5AxR2rqz3LrVh+ZlLTE/gfPzpZywgTzD+VHHpGyyE4PGQucOydlnz5lIvXvb7Xc\n3lZFq9XK8+e/lMXFOY4WxSL/nv7Xeonkq8CKFaaX1quv2l0Ms7gUuzlWrJDSx8f0X+vcWfUGHUx+\ncb4c+PXAKxnTmYscv2K8zC3MdbRoJhQUJDru4FqtlG++aV65Dx0qZVqaw0R7/XXzzxtnIyHhE7l5\nM3Lfvl4yPz/eITIcSz0mj6cdd8ixK+KHH6T09VX/36hRDn+Jv0JlFXv9GDyVUjkLT5pkOsVs1Cg1\nQtK1q2Nk02PfhX0moQh+OfELQ74bQkJWgl1lSUxcQEGB6cSqUhw68UUINZ/g559NY81s2QIDBsCx\nYw4R7aWX1BBNKd27w9NPO0QUi2RkbCIu7glAZWk6eHAg2dn2HfPaeHIjg74dxOjlo0nPT694Bzsz\nZYrynbj5ZjXcVtuiSdcycatBfr76l+bONS177jnlyhgYaHexzHF96PVsnrqZYL9gg+2RyZH0/7o/\ne86bzjC0NlqthtjY/xAb+zBHj45Co8m2+TGrzfjxsGtXme9gKWfOqOBs//xjd5Hc3WHZMtVPGDMG\ndu+Gq66yuxgWkVISH/82UHJlm0aTYzcfdyklH+35iFHLR5FdmE1cehwTVk+guMQ0a5Sj6d0b/vzT\nadRDlajbij05WUX6Wb7ccLunp/KGee89p3sUDw4ZzL4H9tGruaEfVkpeCkMXD2X1sdU2O7ZGk01U\n1GgSEz8HIC8viujoSc4dd6RXLzXb5PrrDbdnZ6swBN/Y0B3TAgEB6sXhl1+gYUO7H75chBD07LmO\noKDxpVvo1m05DRv2tvmxNVoNj/7+KE/8+cSVMLsAm85sYnW07a5rW7FzJzzzDJSUVFzX3jiXVrMm\nx46pqIB79xpub9pURRJ04jnEoY1C2Tl9J+O6jDPYXlhSyMSfJvLBzg/UAIkVKSiI59Cha00msmRl\nbefyZScPe9CsGfz9t5qNqo9GAzNnquAgVg4ilpYGR45YLg8Odro+wxXc3f3o3v0nQkKepUOHeQQF\njbb5MXMKcxi7YixfHvjSYLutFAIoAAAgAElEQVSbcGP+LfOZ3GOyzWWwJmfOwLhxKnbduHEqz6oz\nUTf92DdtUvFesgyjwNG1K/z2W61J566VWl7e9DLv7njXpOzBPg/y+W2fm8R/rw7Z2fs4enQ0xcWG\nk7S8vUPo2XM9/v7lzOJwJqSE//1PdaOMr+s771STmqyQ8TkmRtnR8/JUv6Ft2xo3Wae5kH2BUctH\nEZkcabC9oVdDVt65kls71a4ww1lZytIXrdff6dtXTWC3dULx+htSYOlSFe/UWKnffLMyeNYSpQ6q\nN/POTe+waMwiEwW+8OBCRi1TdsqacPHiOiIjh5oo9YYN+9Onz97ao9RBDao+9ZRKiGJ8h5VOYkpJ\nMbtrZdm6VU14PXVKWfpGjVJWn7pGSUke0dH3kJ9/tkbtHE4+zMBvBpoo9baBbdk1Y1etU+oAiYmm\n6mX4cNsr9apQdxS7lPDGGzB1qmEmW1CxRTZsqJ2jIMD9ve/njyl/EOhtKP+fp/7kuu+uIzk3uVrt\nXrjwOVFR49Fq8w22N2t2J+HhW2pvyNfx45UGbt7ccPu+fUorx5gmiK4s69YZZkY8ehQ++KDazTkl\nWq2G6OhJpKb+yMGD15CTE1Gtdjae3MiQ74ZwIeeCwfa+LfuyZ8YeegT3sIa4dqdrV3Up9dYNS0ya\npFIGOBN1Q7EXFalgyq+9Zlr2/vsqHkxNoyw5mJuuuoldM3YRGmjoAdLAs4GJwq8IKbWcOvUMJ0/+\nB+OkGG3bPk+3bisrH2rXWenfX9lJehgpj1KPmZ07ze9XAR98oJ4bpUybBq++Wn0xnQ0pJXFxj3Hp\nkkrWXlycwqFD13PpUtXy9n4d8TWjl48mt8jQ+Dzm6jFsnbaVlg1raadBR6tWsG2bSrC2eLHzjac4\nmTjVICtLGTwXLzbc7u2t4os8+2ytDO9qjm7NurHngT30b9UfgPaN2rN20lp8PSv/DlhSUkB09GQS\nEowzQ7nTufMCrrrqXYSo/ZcFoNwgd+xQZjh90tPhppuqlTTb3V1l6xs8WPXSFi1SkYTrClKWUFxs\n6Feu1V7m6NExJCYusLCX/v6SVza9woPrH6REGrqLzBk4h58n/oyfl5+FvWsX/v7qGvD2drQkptTu\nO/jCBeXmZuyvXOr5MtE0wUVtp4V/C7ZM28LUsKn8PuV3E5/38iguTufIkeGkpa0y2O7m5kfPnuto\n1epBC3vWYgIDVWz3GTMMtxcWqutj/vwqN+nrq9wZX3yxzvQZruDm5kG3bssICXnWqERLbOzDnD79\nAlJa9jDKLcrl5xM/G2wTCD4e8TEfjfgId7faExO+puzaBY8+amoZtge11ysmKkr5KZ8/b7i9QweV\nxaBTp5q1X8fIzz/LkSMjyM83tC97ebWgZ88NNGxYs/jWTo+U8NZb5u0mjz8O//2vwft0SgokJamk\nTvWVCxe+4OTJ2Rib64KD76ZLl+9wczP/qhKfGc+gbweRlJuEr4cvy+9YztguY+0gsfMQE6Pe6tLT\nlZpatUr18GtK3faK2bJF5RczVurXXKM8X+q5Ut93YR9zNs5Bo5tYlJNzkEOHBpko9QYNutKnz566\nr9RBda1feUWZ7IzHWz76SPXe89Ug8smT6qa85RY4fdr+ojoLrVvPokePX02SZqemLuPIkVvRaLLM\n7hfaKJTfp/xO+0bt2TR1U71T6snJyjEvXWfR2rhRzZMsLLSfDFZR7EKIEUKIGCFEnBDieWu0aZEV\nK9QdZ+xvNG6cMr80q1r+w7pGXHoco5aN4pN9nzBuxTgSU9YSGXkDRUWGnjOBgTfQu/dOfHxCLbRU\nR5k6VaXNMZ4SumYNDB/Onj+zGDRIKfTUVNXbunTJMaI6A0FBowkP34Knp6HJLzNzE4cOXUdBwXmz\n+4W3CCfmPzFc0+Yae4jpVJhzfx01SmeLt1PWrxordqGCTHwO3Ap0AyYLIayfdUFKNc1r8mTlBaPP\nrFlqIKxBLffkqCFpeWnc+uOtpF1OA0CTvYHj0eMoKTH0TAgOnkRY2J94ejZ2hJiOZ/hwNZukVSvD\n7Tt3sn7KcgNFHhtrmtG+vhEQ0J8+fXbj62v4JpyXd5R9B/qTmxtldj9P99qT3MOadO6sDAd9dC/C\nM2boLICRkaqwGoP2VcUaPfYBQJyU8rSUsghYAVj33aukBObMgWeeIRc/7mcRiejcpd57Dz77TLkr\n1HMyCjKuBFO6ty083wXcjQb3QkKepmvXH3Fzc8KhfHsSFgZ79qjwi3q8cWkWU3zWXFmfNs35fJQd\nga/vVfTuvYuAAMMeuFaTzMFD15KRscUxgjkpLVooi/Hrr6sMTOLvv+C665TDxz33qI6FDbGGYm8N\n6MeUPa/bZj0WLoRPP0WDO3exksXczyB2E/3+OhWhsa65JlSTzk07s2v6dt4Ja8r09oZlWgmeQU/Q\nocOHdcedsaaEhCh3yBtuuLLJDcmigsnc5L6ZV+4+xaJF1stJWtvx8goiLOxfMt0M5wZoS7I5cuQW\nUlNXOkgy56RhQ9VT91y2RLlklwaUKSyEsWMh3nJY7JpijTvcnFY1cbURQjwohDgghDiQlpZWtSM8\n8ADy5luYxRf8jgp2fY5Qrn13NIcOVbBvPUKjyeXi2UcY1MjQKFykhdejYfjar/gt5jcHSeekNGqk\nYrPqucZ6UczGkpt5Y1UXxNIlDhTOudBKLU///RJ3bI5ireFkUqQsIjp6EgkJ/7V6gLpai5TqdW/a\nNBWQTp+pU1XHwkZYQ7GfB/QlbAMkGleSUi6UUvaTUvZrVtUBTk9Pin5cTVJAF4PN7dtDx45VF7iu\nUlBwiszMzQbbsovhqcOw7SLka/IZt3IcCw5UPNGkrpOdTVmnwNtbhXZ+8skr5Z5o1M04bRq8+aZp\nULF6RoGmgEk/TeKjvR+hBT6Kg4VmPIZOnXqauLjHkdIJY9naE40GHnlEJYTRRwgVqG7+fJtOV7VG\ny/uBTkKI9kIIL2ASsM4K7RrgHdSQX4515qEpOYCaVLhhg/PFu3Yk/v5hdO++itK/1du7LVHuDxGl\nN0qvlVoe3vAwL/37Ur3tWV24oMydN90EJ07oNrq5KV/2+fNNTXuvvqpCAjtipokTkJ6fzs3f32wS\nM/23FH80TZ5BCEP30QsXPuHYsYmUlBjGIKo35OWpuBMLjDpQXl5qNvwTT9hcBKtMUBJCjAQ+AtyB\nRVLKcoebajJBSUp1/40aBV26VFy/PpKYuJDExK/o2XMD3t4tWXBgAbN+n2WQ3ABgSs8pLBq7CC/3\nOjQnvgKOHoWRI8umQLRrpzwYWrTQq7R6Ndx7r6nj8YgRqswaM01qCWcyznDrj7cSc8lwDkQL/xZs\nnLKR8BbhpKf/w7Fjt1NSkmNQJyBgMD17rsPTs6k9RXYsqakwerSKEqZPo0YqW5txQpgqUtkJSrV3\n5qmLctFqiwxmBv4W8xt3/XQX+RrDXtTQdkNZO2ktAd4B9hbRIbz/vsq7oc/MmWp83oDt29UAl34o\nR1A+bOvXQ8vaHcSqMhxIPMBty24jNc8wpHOXoC78MeUPQhuVzYHIzT3MkSMjKSoytML6+namV6+N\n+Po6UX5AWxETo3oNxrPaQkLULCUjD6zqULdnnpZDZqYyi6amVli1VpOcvBSNJsdiufF079FXj2bz\n1M00a2A4vuHp5omvhxMFkrYxzz4LDzxQtj52rJp4asJ116kIkMb5VA8eVKF/jx+3qZyOZn3sem5Y\nfIOJUr+u7XXsnL7TQKmDMgP26bOHBg0MlVd+fiwHDw4iO9sok1ldY/t2NV3ZWKlbcKu1NXVKsRcV\nqcRJS5aoey821tESWR8pSzh58jFOnJhKdPTEKuUjHdhmILtn7KZTEzXRpFfzXvw08ad6NZFECBXF\necQIFaBpzZpy5rV17apuyj5GIRfi49VNvGWLrcV1CF8d+IqxK8ZyudhwluRd3e/ir3v/oolvE7P7\n+fiE0Lv3Dho1Gmqwvbg4jcLCJFuJ63hWroRhw8piCJQybJiK7Ws8Ec4O1BnFLqV6pd6scwo5fVop\n9yjzk+JqJSUleURFjefChU8BSE//g7i42VUaBO3QpAO7ZuxiQrcJbLh7Q70xwejj6anMnZ9+Wol5\nbS1aqKQdtxpl+snMVOGAly61mZyOQKPVsPTwUpPxmGcHP8uyO5bh4+FT7v6eno3o1esPgoPLcph2\n7DifZs3GlbNXLUVKZdubNMl0Nvy0aSp0RYBj7q86o9gLClTKKn26dKl77pBFRYY9n5SUHykoOFul\nNoIaBLFqwiraBLSxomTORUZG+bk0vLyqMK/N31+lTtK34YDykpk6VXnN1BEPIw83D9ZOWkvHJurG\ncRNufD7yc94f/j5ulZzY5ubmTdeuP9C27Qu0bj2bNm3m2FJkx1Dqzmg8YAMqk5ujZ7ZJKe2+9O3b\nV9qCwkIpp02TEqTs2FHKtDSbHMahFBQkyV272srNm5G7drWROTmHrX6M32J+k4/9/pgsLim2etv2\n4NQpKbt0kdLfX8pDh6zYsFYr5VtvqQvMeLn7binz8614MMdy8tJJGTo/VK47sa5G7Wi1WitJ5ERk\nZkp5yy2m14Cnp5RLl9r00MABWQkdW6cUu5Tq3nv/fSljY212CIeTmxslDx0aKgsKzlu97cikSOn3\ntp9kLnLkjyNldkG21Y9hS3bulDIoqOxea91ayvPW/pmWL5fS29v0xh4ypE71JgqKC2zWtlarkXFx\nz8j8/HM2O4ZNOHVKyq5dTf/7wEAp//3X5oevrGKvM6aYUoRQng91OSS7n193wsI24e1t3ZA8STlJ\njFo+irziPAB+P/k71y66lnNZ56x6HFty6BBcvFi2fuGCmjhqVSZNgk2bICjIcPuOHSonQA2SZduT\nDbEb2Hp2q8Vybw/bBYqLi3uShIQPOXhwQO3xmNm+HQYMMPWIattW2f1uvNExcpmhzin2ikhJUUHv\nnXlQVastIjb2UbKyLBuJhQ0Cn13KNw08fjT1KAO+HsD+C/utfjxb8OijKhBoKXffbcGdsaYMHqw8\nZq6+2nD7qVMwcKCKP+PEfLr3U8asGMP4leOJvWRf97Hz5z/hwoVPACgqSubQoRu4dOkPu8pQZZYs\nUVOVjYPzDxyokqbb2Z2xIuqVYi8oUDN9t2xR9+XGjY6WyJTi4kscPnwziYlfEBU1nvz8s3Y7do/g\nHux9YC99W/Y12J6Sl8L1i69n2dFldpOlJvz3vzBmjBrT/OEH8CnfkaP6dOigpq0OHWq4PStLTVT5\n3/+cblC1qKSIh357iMf+eAyt1JJRkMGoZaNIz0+veGcrIKUkM9PwLcHLqzkNG/a2y/GrjFYLL7yg\nvFyMQ0pMmqTc8AymLTsH9UaxS6kC3u/erdZzclRYgh07HCuXPnl50UREDCArS134xcVpREWNKXci\nkrVp1bAVW6dt5fautxtsL9AUMOXnKTzz1zOUaJ07wJO7O/z8s4qFbfOIzo0bq975tGmG27VaeOop\nmD7dvjnRyiElN4Ubl9zIwoOG02xPZZxiy9ktdpFBCEH37qtp21Z5k5QmUvfyam6X41eJ7Gw1Mea9\n90zL5s6FZctUZnMnpN4o9pIS04BhI0YoX3dn4OLF9Rw8OIiCAsOZayUleRQX23carZ+XH6snrOa5\na58zKZu3ex63LbuNjPwMM3vajy1bVJZES9g174qXl3JvmzfPNGLf4sXK9pecbHZXe3Eg8QD9vu7H\nzgRD856/lz+/Tf7N5EFuS4Rw46qr3qVLl6V07foD/v5hdjt2pTlxQtnT16413O7joy68115z6jwQ\n9SpWjJTwyScqOutVV8H+/So2jyORUsvZs68TH/+GSVlg4A107/4TXl5BZva0D98f/p6Zv82ksMSw\n19mxSUfWTlpLt2bWz4JYHlLCV1/BY48pHbp1qxqvdBo2blSv6MaJL9u0gV9/hb59ze9nQ3448gMz\nf5tJgabAYHuHxh1YO2kt3YOdyz5cSnFxhmPSN65bp7Ic5Ri9KTdvrhT9wIH2l0lHvY0VUx5CqIG1\nDRvUPeZopV5cnM7Ro6PMKvWWLR8gLOwvhyp1gHvD7mX7/dtp3dDQAycuPY6B3wxk7Ym1Fva0DXPm\nqBS3Go2a7Dd+fFmkRqfg1lvVYJqxW9b583DttfDNN3azu5doS3jmr2e495d7TZT68KuGs2/mPqdV\n6pcvx7F3b0fi499GGs2CtRlarbLfjR1rqtT79lURGx2o1KtCvVLspYwYUf4gdny87e+9nJxIIiL6\nkZ5uPILrTseOH9G580KTQF6Oon/r/hx48ACD2hjarXKLchm3chyHkw/bTRZjj7LkZPj7b7sdvnJ0\n6aKU+/DhhtsLC1XcixkzIN+2scqTcpIY9v0w5u2eZ1L21KCn+H3K7xZjvjiakpI8jh0bj0aTzpkz\nLxMVdTsaTZZtD5qVpXoJc+ealt13n3J1bNvWtjJYkXqp2Mvj3Dno1w8mTFDhQGxBcvL3HDo0iIKC\nMwbbPT2DCQ//lzZt5tjEnbEmtPBvweapm5nRe4bB9of7PkxYC/vZSMeNg2eeUd/9/NQg6f332+3w\nladxYxUr5PHHTcu++04N7sTF2eTQm89spveC3iYDot7u3iwdt5R5N8/Dw83D/M5OQGzsw+Tllfkj\nX7q0loiI/uTm2shHOTJS2dPXGeUHcneHjz9W4yROOkhqCZdi1yM/Xz20L15UUf969zaNl18TSkry\niY2dxYkT96HVGr4aBwRcQ79+B2nU6AYLezsebw9vvh79NZ/d+hkebh70btGb+SPm212Od95Rnd59\n+9T/5bR4eKiMTMuWmYaQPHxY9SCMB+dqyKGkQwz7fhgpeSkG21s3bM32+7dzb9i9Vj2eLWjefCoe\nHobJOfLzT3Lw4ECSk7+33oGkhC+/VIM0xqFgmzWDf/9VgzlO1smqDC7FrsfTT6tw26WcPavmoFiD\nvLxjHDw4gMTEL03KWrV6hPDwLVafSWoLhBA8OuBRNt23idUTVlcY7a+6JCWZ5v8txcNDmaq72Xfc\ntvpMnqyeQsaTmbKy1CvIs8+aRgesJuEtwpnUY5LBthvb30jEgxH0b93fKsewNU2aDKNfvwj8/Q0H\nmrXay5w4cR/Hj99bcxfgzEyVwHzWLFN31H79ICICbnDeTlZFuBS7Hk8+aRh6e/x4mD27Zm1KKUlM\nXEhERH+D10sANzcfunRZTOfOX+DmZrvp27bgutDr6NCkg9kyKSUf7PyApJzqxeBes0aNgbzzTk0k\ndDK6d1duWBMmmJZ9+KEyzVghFIEQggWjFtAlqAsCwavXv8pf9/xFc38n9BMvBx+fUHr33kGLFjNM\nylJSfiAiog/Z2dX0rNu/X93oP/1kWjZzpoqhHhJSvbadhHrl7lgZCguVDfe331TvvXENvK2KizOI\niZnJxYtrTMp8fDrQvfsqGjbsY2bP2s2X+79k1u+zaOrblAWjFnBHtzsqtV9urvJ6WbRIrbu7qzEr\nZ5lrYBWkVHbbZ54xfSXx9VXxD2bOrPHr/7HUY1zIucDNHW6uUTvOQGLiN8TFzTYxXwrhyVVXvUub\nNk8gKhNSWKtVv/1zz5nOIvX3V/kRJ082v6+T4Mp5WkOysiAw0HyZlOoBUN5U9czMHRw/fjeFhQkm\nZc2b30OnTl/g4dHQzJ61m4jECAYvGkxRSZlp4d5e9/LprZ8S6GPhB9WRkgK9ehmmNWzfXpmjjSeX\n1Xp27oS77lJRyowZO1bZmoyDjOlxNOUo3x/5nveHve90A+22IC/vGNHRk0zeegEaN76FLl0W4+1d\nztT+M2fUKPtWM0HPevdWWZBqQeRAlx97DbGk1AG+/lpdC3vNBKUrKcnj5MnHiYy83kSpu7v762bb\nfV8nlTrAJ/s+MVDqAN8f+Z5eX/Vi85nN5e7bvLlyGCnF01MF9fLzs4WkDubaa+HIEbjDzNvM2rXQ\ns6fZQGIl2hLm7ZpHv6/78eGuD/ku8jvT/esgfn7d6dNnH61azTIpy8j4k/37u5Gc/L1pNrHSGW09\ne5pX6rNnqzgjtUCpVwVXj72KnD2rrpHcXDXz8bnn1Oxib2/IyNhETMwDJm6MAP7+fenWbTkNGtSt\nC8iYEm0JH+76kFc3v0qxttik/IlrnuDtG9/G19Oy+9js2cohYdkyCA+3pbROgJTKnW72bMjLMy2f\nOlVFNWvalDMZZ5i2dhrb4rddKfb38ufww4e5qvFV9pPZwaSl/UJMzAw0GtOwFk2ajKRz5wX4+LSB\nhATlPmVuokNgoLL53W6/UArWwGWKsQFarcpPu1mv4+nnB0ePQrNmURw40NPsfiEhT9O+/dtOM+HI\nHkQmR3LPz/dwLO2YSVl7v+681u9zpg4173WQn6/0ncUk03WRuDiYMsWsf21x8yDmvzyM17PXmSSY\nBnj3pnd5foiZFG11mIKCBI4fn0JW1naTMnf3ADqkjKPljF8Q2Wa8Z26+WZm6auEAqcsUYwOKilSk\nVn0+/FDZgf39e9C8+T0GZT4+7QkL+5cOHT6sV0odlNvdgQcP8NSgpxDo2YDjhnPm7XVMm9yQiSvv\nJjEn0WRfX996ptRBJefdsQNeecUgkNiOttD7jos8d2mFiVJv7NOYlXeurHdKHcDHJ4Tw8M106DAP\nNzfDwa6Skmxig5Zy+LUc8lvpFfj5KbPMH3/USqVeFVw99mqwcaPKa9ytG/z1V5kDQ3FxOvv2daO4\nOJXWrWfTvv3beHj4O1ZYJ2DL2S3c98tUEr5/FQ7pua8Nf5qAG7/m7Rvf5pF+j+DuZs+QjE7Mnj1c\nnDWN50JiWGTBaerm9sNZNO47Wgc4/9wHW3P58klijk0lK2+3SZkogpDV0PbcEDy+Wqp6YbUYV4/d\nRhQXZzJ06BmiomDpUkOvNE/PJnTtuoTw8G0I8TGRkS6lDjC03VCOPnKEnq07GhZsfoPspKbM3jib\n93e+7xjhnAyNVsM3XlF0mXTRrFJvnA8L18Efb5+l9ab9TpfIw+5otTRYtZPw0XF0/BjcjELwSC84\nNwX2vRZHks9W+wUUczAuxV5JpCwhMXEB+/Z14sSJqTRqJGnZ0rRekya3EBg4hEcfVeEnZs50suiD\nDiLQJ5B/F92AX8NS320t9P0a/NII9gvmkX6POFQ+Z2BdzDp6fdmLmb/NNJumcNohiPkUZh4EEXtS\nzaC74Qbrxr2oTezYAUOGwP33I1LSaPMr9J8OjSJMqxYVJRMb+zCFhfXjZnQp9kqg1RYTEdGf2NiH\nKS6+SFbWdtLSzMxa0/Hrr8pEI6Uao+nYERJNTcl1FkuhAJo1g5df9KBnT8mT3/xEw7GvgHcu/735\nvzT2dUDcbSdj69mtHL943GR716CubGn6FN9tCaSZ8djp9u0qlOzkycpXuz6we7caAL3uurKUaDp8\nkyHss1C65M/By8uw5xUS8iQ+PrUnQmONkFLafenbt6+sbURH3ys3b+bKsmtXqNRoLpvUKyiQMjRU\nSqXW1TJ2rP3ltTdarZQbNkh5ww1SPv205XoFBVIWFanvF7IvyDe2vCG1Wq3ZuoWaQvnKpldkUk6S\n9QV2QtLy0mTDdxpK5iKZi/R5y0e+s+0dWagpVBWSkqScOVNKNzfDC6x08fKScsYMKY8fd+yJ2Ip9\n+6S89Vbz5w5SentL+dprUl5W92VxcY48deoluWWLt9y5s4UsLs4226yl688ZAQ7ISuhYl2KvJLm5\n0XLzZiE3b0Zu3dpAnjnzutRo8s3W/eMPKTt3LrveDh2ys7B2JjFRyh49DPXL6dM1b/ezvZ9J5iK9\n3vSSU3+ZKg8mHqx5ow6muKRYxl6MtVj+xpY3pNvrbvL+X++X8Znx5itFRUk5cqRlBQdSjhkj5Y4d\nNjoLO6LVSrltm5SjR1d8vqdOmW3i8uUzMj19k8VDJCUtlpGRw2VGxlZbnYXVcCn2KpKfHy/PnHld\npqausVgnKmqiPHZsiszPT6iwvcJCKRculHL2bMt1EhPV9bp+vZQaTXWkdg60Wim7dze8zyZPrlmb\nOYU5svmHza/0XkuX67+7Xq6JXiM1JbXrB8vIz5Af7vxQhs4PlW3+10YWaYrM1sspzJFRKVGVa/Sf\nf6QMDy9f4Q0aJOXPP0tZXGzFs7EDWVlSfvaZYY/B3DJ0qJRbq6+QtVqN3LOn85U38YiIQTIvL8aK\nJ2JdKqvY67W7o1ZbyMWLa0lK+paMjL8BSUDAtfTps8NCfQ1uVkxQ8Oab8Oqr6ntoqJrB6pRJI3RI\naTk21ZIlMG1a2frw4SqQmnc1g1bO3z2fJ/960mJ5aGAoD/V9iIndJ1qMMulotFLLroRd/HjkR74/\n8j15xWUzS1feuZKJ3Sda4SBa+PFHlfnn9GnL9Vq0UHb4e+5R8TCcNb5MZKSKkf7jj+Zn4pYyZAi8\n8YZKFF4DUlNXEh1dFubYza0Bgwcn4eERUKN2bYVr5qkFtNoisrJ2cvHir6Sk/IBGk25SZ8CAEzRo\ncLWZva2HRqNcavU9Zj7+WMX1dyakVONTP/ygQpdERZlPJlNUpMJtDB6sAhf2qWHQykJNIQsjFvLR\n3o84nVGOwgL6tOzDhG4TmNBtgsOVvFZq2XluJ6ujV7Pm+BqzE7AABrUZxK4Zu6x34JISlU7qgw+g\nonura1el4O++G9q1s54M1UGrVWF0161TS1QFWZIGDVIK/aabrPJwiol5iKSkhVfWW7SYRpcu5uPv\n5OefwcennUODrrkUux75+adIT/+D9PQ/ycjYhFZbTk8ACAl5jg4d3rOpTP/+q8ITlNKggQr0Zy7B\ndno6nDqlOloeds5oNmGCYdjqVavMhxQHuHzZ+jNGS7QlbDi5gY/3fsymM5sqrN+7RW8+GvER14de\nb11ByuFC9gV2n9/NlrNb+OXELxaVeSk+Hj5M6TmFz0d+jreHlePwS6mCXX3wgZpJVxE9e6pe79Ch\nynWyiR3yoObmKhnXrlWvdcnJ5dd3d1cRL2fNUklvraxYMzO3Ex//FhkZfxEevp1GjYaY1NFostm5\nsymens1p0uQWmjQZQUKvE80AACAASURBVOPGw/D0tK83l10UuxBiAjAX6AoMkFJWSlvbSrFLWUJ+\n/mny8o5x+fIx8vKiyM7eT0HBqUrt7+/fl5YtZxAcPMnmf5iUqqPy5ZewYoUKE/LNN+brfvON8of3\n9YWwMJUQxJJyrQolJSpOUlyc5Q6QvrkIYMwYq2dzqzRHUo7wyd5P+OHIDxSWFFqs9+99/3Jj+xtN\ntmcWZOLl7kUDT+s8fYpKirj6s6s5m3m2UvVbNWzFo/0f5cG+DxLUwHJIXqtx5IiK7/7TT5BTiYxD\nQqi4yf/3f6oX0bGjWpo1q74yzcpS5pWICJXgICJCJRSpjN5p3Vpd+A88oL7bmMuX4/D17WC2R56W\n9ivHjhnnYXSjYcN++PuH4+fXXbf0wNMz2Ga9ensp9q6AFlgAPG0PxZ6YuJDi4jQ0mmw0mixKSrLQ\naLIpKkri8uXjJsH4K8LDownNm99Dy5bT8fe3X1JmfdLToaAAWrUyXz56NKxfX7a+eLEK+mdMcjK8\n+CIEB6t7sUsXuO02823276/inJfmG0hOVmFzjdm+Ha7X6/w2b64iXJYXi97WXLx8kVXHVrHq2Cq2\nxW9DUnYNuwk3sp7Pwt/LdNbv4388zsd7P6axT2NCAkMICVBLC/8WuJlJ1FBYUsiFnAsIBIvGLjIr\nS9hXYRxJOWJRVn8vf0Z3Hs2EbhMY1XkUnu6e1TjjGpKfr3rGP/ygevGWJhpYIiCgTMkHBak/39tb\nLaXf8/NVIP3UVEhLK/ueVMUsWu7uqpfx8MPqwrf3K6oFYmIeJilpQaXqeng0pUGDLnh6NsXDIxB3\n9wA8PALx8AjE378PTZoMq7gRC1RWsdfoV5NSHtcdrCbNVImzZ+dSVFS9lGuleHm1pEmTW2jadBRN\nm45yeFq68t5+8/Lgn38Mt1myX587ZxjPfPx4y4pdozFMIhMXZ16xDxig7uWhQ+Hee2HECPBycDyz\noAZBzOo/i1n9Z5Gcm8zPx39mdfRqtsVvI6x5mFmlDpCQreLjZxRkkFGQUa5C1sfP049vx3xr9jof\n3GawSTv+Xv6MuXoME7pN4JYOt5Qbotgu+Pqq/J4TJ6pM7atWKSW/Z0/les7Z2aq3rZ8Q2Jr4+6sL\na+xYGDnSPuagKiNxc2uAVmsaXdMYjeYS2dk7zZa1bPlQjRR7ZXGOx2EV8PAIrLJiF8KLwMAhNGky\ngiZNbsHPr2etyTqTnq6u9R07VAfIx0eNfZlDP/MQmObo1adjR/WGXMrJkyr3gzHe3qo37+6k8bla\n+Le4ouRTclPKHWhNyDLNZlUZ8orzyCzINDs7dlDIIBZFLqJfq34MajOI60OvZ/hVwx2vzC0RFKRs\n1bNmQUaGyu+5eTNs2aJe4exF586qZz52rOo1VNd9yk5cffUCOnX6hKysHVfG6/Lyjla5HQ+P8rOI\nWYsKFbsQ4h/AXM6pl6SUlba2CiEeBB4EaNu2+tN63d3Ld0Py8GiKn18P3aLsXv7+fWptlMWQEJXc\nWUoVluDUKctvp1VV7KBMNh07lp+lyFmVujHN/ZuXm7RZCIGHmwcabRVNEajevjnFPqHbBO7qfpf1\nB0HtQePGSrGOHavWL11Sin7vXvUKd/Kk+rxccS/VIm5uyibYpw/07as+w8OVeaeW4ebmTePGN9G4\n8U106PAhhYVJ5OYeIi8virw8NaanzMH5FtuwlxulVbxihBBbsJON/fz5TykqSrxityqzXzWiQYPO\nNh24cHZiY1XHKzVVvXF36KAS85gjPV0p7PJSANZFSrQlpOSlkJCVQEJ2AglZCaTnm7q8grLXt2zY\nkpCAEIa0HVJhztY6iZTqlS0uTvUqcnPVgFBhYdlSUKDyGDZvXjbAExxctjhyQMbOKAeOMxQWxuuN\nA5Z9NmkyksaNq+97b1d3R3sqdhcuXLior9glHrsQYrwQ4jwwCNgghDDNvuvChQsXLuyKQyYoCSHS\ngPhq7h4EXLSiOLUF13nXP+rrubvO2zKhUspmFTXkEMVeE4QQByrzKlLXcJ13/aO+nrvrvGuOK9GG\nCxcuXNQxXIrdhQsXLuoYtVGxL6y4Sp3Edd71j/p67q7zriG1zsbuwoULFy7Kpzb22F24cOHCRTm4\nFLsLFy5c1DFqlWIXQowQQsQIIeKEEM87Wh5bIYRYJIRIFUJE6W1rIoT4WwhxUvdp3wj/dkAIESKE\n2CyEOC6EOCaEmKPbXqfPXQjhI4TYJ4Q4rDvv13Xb2wsh9urOe6UQwsFxNW2DEMJdCHFICLFet17n\nz1sIcVYIcVQIESmEOKDbZrXrvNYodiGEO/A5cCvQDZgshOjmWKlsxmJghNG254F/pZSdgH9163UN\nDfCUlLIrcA3wqO4/ruvnXgjcKKUMA8KBEUKIa4D3gfm6884AZjhQRlsyBziut15fzvv/pJTher7r\nVrvOa41iBwYAcVLK01LKImAFMNbBMtkEKeU2wDgy1Vhgie77EmCcXYWyA1LKJCnlQd33HNTN3po6\nfu66BPS5ulVP3SKBG4HSxIR17rwBhBBtgNuAb3Trgnpw3haw2nVemxR7a0A/oPZ53bb6QnMpZRIo\nBQgEO1gemyKEaAf0BvZSD85dZ46IBFKBv4FTQKaUsjTGcF293j8CnkVlYgNoSv04bwn8JYSI0IU0\nByte57Up0Ya5WLwuX806iBDCH1gDPC6lzK4PYZillCVAuBCiEfALKo+wSTX7SmVbhBCjgFQpZYQQ\nYmjpZjNV69R567hWSpkohAgG/hZCnLBm47Wpx34eCNFbbwOUnw6+bpEihGgJoPtMraB+rUQI4YlS\n6j9KKX/Wba70uQshpgkhdthe0uohhNgihHjAUrmUMhPYghpjaCSEKO181YrrXTcoWNncb9cCY4QQ\nZ1Gm1RtRPfhad95VRUqZqPtMRT3IB2DFe7w2Kfb9QCfdiLkXMAlY52CZ7Mk6oDSF9VRgrRBiiBBi\nlxAiSwiRLoTYKYToX5nGhBBSCNHRZtJWA5199VvguJTyf3pFJudub9lsiRCima6njhDCFxiGGl/Y\nDNypq/Yf4GY9hVfrkVK+IKVsI6Vsh7qfN0kpp2B43nXx//YTQjQs/Q7cDERhxeu81lwkUkqNEOI/\nwJ+AO7BISnnMwWLZBCHEcmAoEKSLd/8a8B6wSggxAzgHTAcOA48AqwAv4DqUh0Vt5VrgXuCozt4M\n8CKm5z7B2gfWPVSElFJbYWXr0xJYovP8cgNWSSnXCyGigRVCiLeAGAfI5Sieo+y8D6Ee9nWJ5sAv\nOhOjB7BMSvmHEGI/1rrOpZSupRYuQD/UIFN5daajen4ZqAdiqG77NpTdMg/IBe4ys28HYBNwCRUj\n+kegkV5ZOtBHt95KV2eobj0QdTMmAReAtwB3XVlHYCuQpdtnZTnyDwF2/T975x0eRdU18N9seiOd\n9AIJoSSBFJSioKKoILzyvQivFVEQG4piRbGhAqKoKBZQRJqKKKK+Yns1gKGTBoQkEBLSe920rff7\nY5eQCiFsspuQ3/PMk+y9d+aenZk9c+fcc88BKtFNnM9ucvyNwNm4/osBmb5uNhDb5Bhj0b3tVen/\njm1Stwt4E9gL1APBbcjgB2zX91UGrAas9N8/vEm7/vpjuOs/3wokAtXoJkJvbtLn3AtdozbkyNZf\nsxr9NgbdQ2Cx/hwU68+J43nO5/lkekN/rmuAn9FNYm7Rtz0MBOrbfgSsbHHcn9HNhwCcAW7Q/z8E\nyARuN/bv5XLbjC5A39bJCwf99IpmAzrffucW9dOAdHSTcOZ6BbCvSb1oS5E1qQ8GJuqVmDu6h8H7\nTeof0CskW71CeqdJ3Q5gDWCnV3iHgAf1dV8DL+qVkjVwdTv9+wNy4A507n+uQIS+biO611QHIBA4\nCczR181Gr9gBF73CvEd/Du7Qf3bV1+/SK8xQfb1FCxnM0L0Vvaf/Lo3yAh8DbzVpuwD4Wf//lege\nJBP139MHGNKkz7kduUYtZAnUXzPzJmX36/cfCNijewBtamf/C8mUju6B7Qic0J/TG/RybQTWNzlO\nPucepG5AHTqPDtArdiBKf26nGPu3cjluRhegb7uEi6dTCF+im1hWo7PRnf2B/XpW2ek/y/Q/wAD9\n5/Mq9jb6mgYktCj7CTgGHAWs9GUe6MxBNk3a3QHE6P/fiC6Kne8F+lsE/NBGuZn++MOalD0I7NL/\nP5tziv0e4FCL/fdzbuS/C1hyHhnGoBupm7dRNwrdW8RZBXcEmKn/fw26BTZtHXMX5xT7ea9Ri/0C\naa3Y/wIeafJ5MKBqR94LyfRik88rgV+bfJ4KJDb5nAJM1P8/H9jZpO4M8Jr+nrzO2L+Ry3XrSZOn\nfbRACJEihJgthPAFwtCZRN7XVwcAqyRJqpQkqRKd6UCigz7BkiT1lyTpG0mS8iRJqgY2oxudNeUz\nfb8fCiHO2vYD0I2wC5r0vYZzPrnP6uU4pF8+f387IvihMxe0xA3dfELT1IpZ7Xwvb1qnYGzZNof2\n8QOyxDmf6kaEEAfRmbKukSRpCLo3nJ+a7NeW7C25pGtE6++XhW6E7dHOdzmfTEVN/q9v47N9k88b\ngLv1/98NbGpxrIfQvXnEnKe/PrqQPsXeSxBCpKIbvYfpi3LQmT+cmmw2Qoh9HTzkMnQjxOFCiH7o\nfsCNPsZ6X/P30dnSX5UkyaVJvwrArUm//YQQoXo5C4UQDwghvNGNtD9uxzsnB51poCWl6EalAU3K\n/NHZ8luS36JdW23P5yOdA/ifxxPlrIK7B/hOCNFwAdnbOn5Hr1Fbcrb8fv7o3tyK2mjbUZk6wmbg\nVkmSRqB7a9zRov4hdOftPQP118dF0qfYeyiSJA2RJOkp/ZJsJEnyQ2fyOKBv8imwSJKkUH29oyRJ\nTWfZi9DZZtvDAd1EWqUkST7AMy3qVwFxQoi5wC/6/hC6FXN/ACslSeonSZJMkqQgSZKu0csx46zM\n6OzdAtC00f8W4AZJkmZKkmQuSZKrJEkRQreQ51vgTUmSHCRJCgAWolM2LdkJhEiSdKf+GP9BF2fo\nv+f53k05hG4CeLneRc1akqSrmtRvAv4PnXLf2KR8HXCfJEnX67+/j35U35ILXaOmlKBbndn0mn0N\nPKl3AbYHlqKbjG71hnERMl0QIUQuugnVTcD3Qoj6Fk3k6GIdjZckaXln+ujj0uhT7D0XOTo770FJ\nkmrRKfTjwFMAQogf0AVT+kZvSjmObpL1LK+ic7GrlCRpZhvHfw3dBFgVOsV9drEQkiTdiu6H+5C+\naCEQJUnSXfrPs9CZS06gU97foXPpA7hCL3MNOtPFAiFEZsvOhRDZwGT99ylH580xQl/9GDozSAYQ\nC3wFfNHGMcqAKfpjlKEzA00RQlwoE/zZ/TXo7MvB6CYCc4H/NKnPBeLRPZz+aVJ+CLgP3aRrFTov\noJZvDh25Rk3b1qH34NFfs9H677wJ3cR2JtCgPzdt7d8hmS6CDUA4rc0wZ/urRDdRO0mSpNcvoZ8+\nOkFfBqU++rgEJEn6AsgXQiw2tizdiSRJ49G9JQUK4/j+93EeeswCpT76MDUkXaCyf6MLVnbZoA/7\nsAD4vE+pmyZ9ppg++ugEevPCceDttkxJvRVJkoaiWzDmxTkPrD5MjD5TTB999NFHL6NvxN5HH330\n0cswio3dzc1NBAYGGqPrPvroo48eS1xcXKkQwv1C7Qyi2PWeAWeD5oddqH1gYCBHjhwxRNd99NFH\nH5cNkiS1XEndJoYasX+JLurdxgu066MPk6CqqoqcnBxycnIoL2+ZXlaHmZkZnp6e+Pn54evri5WV\nVTdL2UcfncMgil0IsUfv+tWlFHxZgEauwbyfOWaOZpj3M8fcUfe/hYsFFi4WXS1CHz0IIQSZmZns\n27ePAwcOkJ6e3qjM5XL5RR+vf//++Pn54efnR2hoKGPHjmX06NG4uLhceOcehlaroL4+k/r6dOrr\nT1Ffn05DQwZqtRyttgEhFGi1Z7cGZDIrLCzcsbTsj4VFf/1fd6ysfLC3j8DWdgi6cPO9H6EVKIuU\nqCvVaKo1qKvUqKvVaKp0/ztc4YDTOKculaFH+bHnvJ1D3Ym6dust3CywC7PDNtQWu1A77MLssAu1\n65UKv0Gj4VhtLUdraylUKilWKilWqShWKilRqShRqZAAK5kMK0nCSibDWibDSibDw9KSYBsbgm1s\nGKT/62VpidTDc4uq1WoOHTrE3r172bdvH/v376eoqK2wKZ2juLiY4uJi4uLi2LHjXHiUIUOGMHbs\nWMaMGcP48eMJCQkxWJ/dgRCC+vrTVFbGUFm5i+rqfTQ0ZHGxqUYVivbjqclkttjbj8DBIRp7+ygc\nHEZiZxeKJPVc/w0hBIpsBbXJtdQer9X9Ta6l7kQd2vr23fv9n/fvcsVuMHdH/Yj9v+3Z2CVdJu55\nAP7+/tFZWR0yFTUje0U2DdkN556CVeeeiKpiFZqatkKOgF2YHS43u+B8kzNO45yQWfWsm0ml1RIn\nlxNXU0OcXE68XM7J+npCbGwYYW+Pj5UV/S0scLe0pL+FBf0tLXGz0D3MFFrtuU0IGrRaCpVKTtXV\nkV5f37jJNRrC7Oy41smJ65ycuMrREQdz03/uq9Vqdu/ezbZt29i+fTslJSXGFonQ0FBmzpzJjBkz\nGDq0rZzUxkehKKC8fCeVlbuoqIhBqWwrhlrXYmnphavrVNzc/oWT0wTMzGy6XYaLRVmipOLPCsp/\nL6fijwqUhco221m4W2DuYn7OqtDPrPGv8w3OuE1pGSi1Y0iSFCeEGHnBdt2l2JsycuRIYejJUyEE\nilzFuSfn8VrqkuuoTa5t9vSU2cpwutYJl5tccJvmhrW/tUHlMBRVajW/lZfzU2kpv5aX429lxRX9\n+hFtb0+0gwPhdnZYmxnu1VauVpNQU0NMZSW7Kis5Ipc3KvobnJ25xtERc5lpPBA1Gg27du3i22+/\n5YcffuiUMreysmo0q3h4eCBr47spFAry8vLIycmhoKAArfbiF1mGhoYyY8YMZs6caXQlr1bLKS39\ngaKizVRU/IUuplh7SFhZ+WNjE9xss7BwRSazRiaz0m/WSJIVWm09KlUJSmUxKlWx/m8R9fWnkcvj\nUCrPn49aJrPFxeUmXF3/hZvbrVhYOBv0u3cWIQTyQ3LK/ltG+W/lyOPkzV5kLNwssAs/Zx04ay2w\ncO4aK8Flp9jbQ6vQUrW3ivLfyyn/vZzapNpzlRI4T3TGa44Xbre6GX0kX6hQ8F1JCT+VlXGguppx\njo78y82Nqa6ueHfzxF2DRsOB6mpiKivZWV5OrkLBHf37c7eHB5H29kYx21RUVLBu3TpWr15NR9/4\nbG1tGTVqFGPGjGHkyJEEBATg5+eHm5vbRX0HtVpNfn4+OTk5nD59mgMHDrB//36OHj3aYYU/fvx4\nFixYwK233oqZAR/K50OrVVFR8SdFRZspLd2BVtsyEKMOMzMHHB3H4+R0LU5O12JvH45MZrh7TqEo\npKYmAbk8jpqaeKqq/kGlajsWm0xmTf/+t+Pt/TAODlcY5V5TFikp3FRI4ReF1KWcM/9KlhJO450a\nLQB2oXbdKl+3KvamyZfRhYN9RQjRbgLa7lTsLVEUKKj4o4Ky/5ZR+lMpQqn7/uYu5njc5YHXHC/s\nR9hf4CiGQwjBrspKPsnP58+KCqa6ujLNzY0bnZ2xNyFTSFpdHVuKithSVISlTMbdHh7c1b8/gTZd\n//qcmprKBx98wIYNG6ira3+OBcDR0ZFJkyZx9dVXM3bsWMLDwzHvwvMol8s5dOgQ+/fvZ9euXeza\ntQuNpm2T4FkCAgKYP38+c+bMwdm5a0amKlUlBQVryM1dhVJZ0GYbR8drcHWdrFfkUchk3Xe/CaGh\nuvoApaU/Ulr6E/X1befqtrePwtv7YTw87sDMzK5LZdKqtZT/Wk7BugLKfylHqHW6wcLDgv4z++Ny\nswtO1zhhZme8SeBuH7FfDMZU7E1Rlaso+qqIwnWF1CTWNJY7jHIg4IUAXKe4Ism65mlcqVKxoaiI\nT/PzkQGP+Phwt4cHjiakzNtCCMGB6mo2FxXxbUkJVzs68oyfH2MdHQ3ez19//cXKlSv57bffztvW\n0dGRadOmMWPGDG644QajuiWWlpbyww8/sG3bNv7+++/zKnlbW1vuvfdennrqKYKCDJMDo6Ehl9zc\n9ykoWItG09rzx84uHA+Pu+nf/w6srf0M0qchqKtLo7T0J4qLv6amJqFVvZmZI15e9+Pn9wxWVl5t\nHKHzqGvU5H+aT+67uSgL9DZzM3C9xRWvOV64THJBZmEaZsg+xX6RyBPkFKwroHhLMepKXZ4Cu3A7\nAl4MwP02dyQzwyj47IYGlmZlsbWkhJtdXHjY25txjo490iOlTqNhfWEh7+bk4GVpybP+/kxxdUV2\nid/lwIEDLFq0iF27drXbxtramhkzZvCf//zH6Mq8PUpLS9mxYwdbtmw573cxNzfngQce4KWXXsLL\nq3NKq6bmODk5b1Nc/BUt82xYWnrh4XEPHh53YW8/vFPH7y6EEMjlh8jL+4SSkq1otQ3N6mUya7y9\nH8Hf/1ksLdvKANhxVJUq8lbnkfteLupy3TmzCbHBa44XHrM8sPI0vXuqT7F3Ek2dhoLPCshekY0y\nX/f0tgmxIeCFAPrf2b/TT+7chgaWZWfzTXEx87y9ecLXFw9LS0OKbjTUWi3bS0tZkZ1NrVbL035+\n3OPhgeVFTrYmJyezePHiZq6ELfH29ubRRx9l3rx5uLl1zrPAGBw7doxVq1axefNmFApFm21sbGx4\n4oknePbZZ3Fy6pg7XENDFhkZL1JcvKVVna3tMPz8nsHD405ksp53r6lU5RQWfkl+/qfU159qVieT\n2eLjMx8/v2ewtLy4+0BZoiT3/VzyVuehqda9UfUb04+AxQG4THIx6UFWn2K/RLQKLYVfFpK9PJuG\nM7pRg/UAawa+NVA3gu/gxS9QKFiWnc3moiLmennxjJ8f7r1Eobfk7HzB8uxsTtfXs3zgQKa7X/hc\nZWVl8corr7Bp06Z2JyJHjRrFggULuO2227Cw6LnrEkpKSli7di0ff/wx+flte4o4Ozvz/PPPM3/+\nfGxtbdtso1JVkp29jNzcVZzLI67D0XEcfn7P4uo6uUf7iZ9FCC1lZTs5c+ZVamrimtXJZHb4+j6O\nv//zmJv3O+9xNLUasldkk/NODto63X3mNMGJgMUBOF3rZNIK/Sx9it1AaFVair8uJmtpFvVpOo8C\nx/GOBL8fjEOkQ7v7VapUvJGVxReFhcz29OQ5f/9eM0LvCP8rL+eZjAxsZDJWBgUxpg0bfENDA8uW\nLWP58uUolW37A9944428+uqrjBkzpqtF7laUSiVbt27l1VdfJSMjo802vr6+fPDBB0ybNq1R6Wi1\nSvLzP+XMmSWo1WXN2ru6TsXf/wUcHUd3ufzGQAhBWdnPZGa+TG1tUrM6S0svgoLepn//O1spaKEV\nFH1VRMbzGSjzdPeZyy0uBLwYgOMYw84NdTV9it3ACI2g4PMCMhdnoipVgQSe93sy8M2BWHqcU9ha\nIdhUVMTzGRlMcXVlSWAgXiZo/+0OtEKwuaiIFzMzGd2vH8sGDCBYPwL9448/ePTRR0lPT29z3yuv\nvJJly5YxYcKE7hS521EqlXz++ecsWbKk3VWyU6ZM4cMPP8TBIYX09Mepr29+zhwcriAo6B2cnMZ3\nh8hGRwgtpaU7OHPmFWprjzerc3Qcx6BBqxvnEqoPVZO+IJ3qA9UA2EfbE/x+ME5Xd+3Kz66iT7F3\nEapKFVmvZ5H3QR5CLTBzMCNgcQC+T/iSpKhl/qlTqIRg9aBBXNnv/K+Glwv1Gg3v5+ayMieHmWZm\nlKxaxXdbt7bZdujQoSxdupRbb721R7waG4ra2lpWrVrFW2+9RXV1dat6a2szZs3ScNttcNYSZW0d\nyIABy+jff2avMLlcLEJoKS7+mtOnn2nh0mmGp9NDaFbfQ8k63Vu2paclA5YNwHOWZ5d5unUHfYq9\ni6k7Wcfpp05T9l/d63DlYHOWPwNzJw3kfi+vS/YM6W1oNBre+vBDXn3pJVQ1Na3qPTw8WLZsGbNm\nzeq2xTumSHl5OUuXLmXVqlWo1epW9QEB8Mwz9vzrX6/i4zPfoIuIeipqtZysrCXk5r7f3COowgk+\neRz/kffiv8gfcwfTdiXuCB1V7JffY95A2IbYEv5zOJXf+FPoA05papY/qGbChw0IRV9+36ZkZGRw\nzTXX8OKTT7ZS6pIk8eijj5Kamsp99913WSt1ABcXF9555x327/+JiIjW9t+sLJg/v4Z33slG0Xef\nAWBu7kBQ0NuEex/C/MyV5yqcK+GFJdTf9TxaqwrjCWgE+hR7JylVKpmZnMyiAaUEHonAd6EvaCF7\neTZHIo5Qta/K2CIaHSEEn3/+OcOHD2fv3r2t6t2HDcN57VpGL16Mo4EXOPVUhNCSk/MudXX/ZuXK\nKp55Btqy6H3wwQdERUURFxfXuvIyQ2gFeR/nkRxVg/q+5cjeWYK5xruxvqRkG4cPh1FS8oMRpexe\n+hR7J9hRUsLwI0fwt7IiPjqa0Z5OBK8MJnJvJLZDbKlPqyfh6gTSn0xHU3v+5eW9laKiIm699VYe\neOABamtrm9U5ODiwatUq8pOS+G3mTN7OyeGWY8cobMe/+3JBocgjKelGTp9+Sh/jHCZPlvHnnw8z\ne/Y9rdqnpqYyevRo3njjjTbNNpcDdel1JE5I5NSjp9DUaHCf0Z/R655j9DUpeHnNbWynUhWTnPxv\nTpy4G5Wq94/e+2zsF0GFSsXj6ekcqK7myyFDuKqNUaamQUPW61lkv5UNGrAZbMOwb4bhENG+a2Rv\nY8eOHcybN6/NqIuTJ09m7dq1+Pj4NJaptFqWZGXxeUEBa0NCmNqDFh4ZipKSH0hLm4tafS6bk719\nBCEhn9Gvn86kunv3bmbPns2ZM2da7T969Gg2btzIoEGDuktkoyKEoHBDIafmn0Jbq8WivwUhH4fg\nPr15OtCysl9J0URpAAAAIABJREFUS5vbLLqkpaUXgwd/gavrzd0t9iXTURs7Qohu36Kjo0VP48+y\nMuGzd694/ORJUaNWX7B9dVy1ODjsoIghRuyy3CVyVuUIrVbbDZIaj7q6OjF37lyBLrBps83W1las\nWbPmvOfgn4oKEbh/v3g4LU3UduAc9wZUKrlITZ0rYmJoskni9OkXhEajbNW+urpazJkzp91zvG7d\nOiN8i+5FVaUSyXckixhiRAwxIvn2ZKEsbX2uzqJUlosTJ2a1OMeI9PRn2zzHpgxwRHRAx/aN2C+A\nWqvl1TNnWF9YyMahQ7n+IqLxaeo0pC9Mp2CNzhXLdYorg9cPxtKt9y1USktLY8aMGRw7dqxV3ejR\no9m0aRPBwcEXPE6VWs2jJ08SV1PDV0OHEunQe990qquPkJJyZ7Pl8lZWfgwdugknp2vOu++PP/7I\nAw880OZb0b333stHH32EnV3XRkM0BtUHqzlxxwkaMhuQ2ckI+SgEj1keHXKNLS39kbS0B1Gpzq0X\n6NdvDMOGfY21dUBXim0w+twdDUBuQwN3pqRgLZOxaejQTq8cLfm+hLS5aagr1Vh6WTJ081CcJ5hG\nIgFDsHXrVubOnUtNC48Xc3NzXn31VZ577rmLDp27paiIJ9PTedbPj6f8/HqVT7sQgvz8j0lPfxIh\nVI3l7u7/ISTkUywsOrZ4pri4mAceeICffvqpVV1oaCjfffcdQ4YMMZjcxkRoBTlv55C5OBOhFthH\n2jPsm2HYhrQdcqE9lMoSUlNnUV5+LmKoubkzQ4asx83tVkOLbXD6TDGXyH9LS4VHbKxYeuaM0BjA\nhFKfVS/ir47XvT5KMSJjcYbQqnu2aaahoUE8+uijbZoFQkJCxJEjRy7p+Jl1dWJ0XJy49ehRUaHs\nWa/M7aFSyUVy8h3NTAJ79jiIgoKNnTLVabVa8dlnnwkbG5tW18DOzk5s2bKlC75F96IoVojEiYmN\nppdTC08JTYOm08fTajUiK+stERNj1uw6nDy5QGg0DQaU3PDQZ4rpHCqtlhcyM9laXMxXQ4dydQej\n7HUErVpL1htZZL2eBVpwvsmZYVuGYeHa84JaZWZmMmPGjDbd7W6//XbWrl2LgwHMKEqtlqdPn2Zn\nWRnfhYYS0YNNM7W1qSQnT6eu7kRjmb19FKGh27CxGXhJxz5+/DgzZswgNTW1Vd1DDz3Ee++9h7W1\naaaBPB/Vh6pJnp6MIleBhbsFQzYMwXWSq0GOXVW1nxMnbkehyG4sc3AYSWjo91hb+xukD0PTt0Cp\nExQqFFyXmEhKbS3x0dEGVeoAMnMZA14dwIg/R2DhZkHF7xXEjYxDHt86IYIp8/vvv7fpQ21pacnH\nH3/MV199ZRClDmApk/HBoEG8PmAAE48e5cuCtrMBmTrFxduIj7+imVL38ppHZOTeS1bqAGFhYRw+\nfJg777yzVd2nn37K1VdfTU5OziX3053kf5ZPwrgEFLkK+o3tx8jEkQZT6gCOjmMYOTIBV9dzJhi5\n/AhxcSOpqNhlsH6MQZ9i13OgqoqRcXHc6OLCT+HhuHVhJEbnCc5Ex0XjcIUDDWcaSLgqgcINhV3W\nn6EQQvDOO+8wefJkKisrm9UNGDCAffv28fDDD3eJPfwODw92RUSwPDubeWlpNFwg/ZypoNWqSE9/\nkhMnZqLR6OYgZDJrBg9ez+DBazAzM9wo2t7ens2bN7NmzZpWiUfi4uIYOXJkmwvFTA1Ng4bUuamc\nnHcSoRR4P+pNREwEVt6GD59gYeFCWNgPBAe/jyTp5oFUqhKSkm4gN/cDjGHRMAgdsdcYejM1G/va\nvDzhHhsrfiop6dZ+1fVqkfpAaqPtMO3hNKFRdN522JXU1dWJu+66q017+rRp00RFRUW3yFGtUomZ\nx4+LqMOHxZn6+m7ps7MolaUiIWFCMzvu/v1BQi5P7PK+4+PjRVBQUKtrZWFhIdauXdvl/XeW+qx6\ncWTkERFDjNhtvVsUbCzotr4rKvaI2Nj+za7XiROzhFpd120yXAg6aGO/rEfsCq2Wh9LSeDc3l38i\nI7t9YYyZtRmD1w4m5LMQJEuJ/E/ySbw2EUWhaa3AzMnJYdy4cWzZ0jxLj0wm46233mL79u0dzvhz\nqTiYm/PNsGHc6eHB6Ph4Ylu8OZgKtbXJxMWNorLy78YyV9dbiY4+gr39iC7vPzIykri4OKZOndqs\nXKVSMW/ePB555JF2Y+Abi4pdFcRFxyE/Isd6gDWR+yPxvMez2/p3chpHdHQcDg7n4s0UFW0kIeFq\nGhqyz7On6XHZKvYCvT29UKnkYFQUg9vJVNMdeM/1JjI2Eis/K6r3VxN/ZTzyBNOwu8fGxjJy5MhW\n9nQnJyd27tzJs88+2+2uiJIk8ZSfH+sHD+bfycmsMzG7e2npf4mPH0NDw+nGssDA1wkL+6HDroyG\nwNHRkR07drB48eJWdZ988gkTJ06kuLi42+Q5H/lr8zk68SiqUhUuN7sQfSTaKKu1ra19iYjYjafn\n/Y1lNTXxxMVFU1kZ2+3ydJbLUrHHyeVcGR/PzS4ubA8Lo99F+lh3Bf2u6Ef04Wj6je2HIkdBwtUJ\nlGxvvfikO1m/fj0TJkxo9eMfOnQohw4d4qabbjKSZDpudnXln8hIVmRns+DUKdTtpNXrLoQQZGe/\nxfHj/0Kj0T2YZTI7QkO3Exi42Ci++DKZjNdff51t27a1SrO3Z88errjiijYXlXUXWrWWU4+f4uSD\nJxFqgd/TfoT/NxwLF+N5ipmZWTN48OcMGvRxE7t7KUlJ11NYuNFocl0Ml51i315Sws1Hj/J+cDAv\nBwaaVNx0Sw9LIv6OwGOWB9o6LcnTkznzxplun8DRarUsWrSI+++/H5VK1axu6tSpHDhwwGRikgy2\nteVAVBRpdXVMOnaM8hbydhcaTT0pKXeTkfE8OnM2WFkFEBW1D3f3/zOKTE257bbb2LdvH4GBgc3K\ns7Ozueqqq/jtt9/a3rELUVWqOHbLMfI+zEOykBi8fjBBbwchmRn/NylJEj4+DzNiRAwWFv0BEEJJ\nauq9ZGS8gBCmHTL5slHsQgiWZmWxID2d34YPZ7q7+4V3MgIyKxlDvhzCwBUDQYIzL50h5a4UNPXd\n4wVSV1fHzJkzWb58eau6l156iR07dtDPxDJDOVtY8N/wcIbb2TEqPp7UFtEkuxqlspikpAkUF3/V\nWOboOJ7o6MONKdpMgREjRnD48GGuu+66ZuVyuZxbbrmF1atXd5ssdafqiB8dT8UfFVi4WTDi7xF4\nzfbqtv47ipPT1URHH8LOLqyxLDt7GcnJM9Bouvc+uxguC8Wu0Gq5NzWV70tKOBAVRbSJL3KRJAn/\nZ/wJ2xGGmb0ZxV8Xk3hN10+qFhQUcO211/L99983K7e2tmbr1q0sWbIEmcw0bxlzmYyVwcG84O/P\nNYmJ/F3RPaFZa2tTiI8fTXX1gcYyL695jBjxJ5aWpjd4cHNz4/fff+fhhx9uVq7Vannsscd4/PHH\nuzwEcEVMBfGj4qlPq8cuzI6ow1EmnYPU2jqAyMh9uLjc0lhWWrqdhITxKBR5RpSsfUzzV2pASpRK\nrk9MpFajYU9kJD49KLG027/ciNwXiXWgNfLDcuJHx1Ob3DWjhKNHjzJq1CgOHz7crNzDw4Ndu3Yx\nc+bMLunX0Nzn5cXXw4Zx+4kTrO/iSdWKir/1k6SZ+hKJ4OD3CQn5FJnMdAO9WVhY8NFHH/H++++3\nsvt/+OGH3HrrrcjlXTN5X7ihkKM3HkVdocZ1qiuR+yKxCbTpkr4Mibm5A+HhP+Lr+2RjmW5S9Qrk\n8ngjStY2vVqxp9bWMio+nmucnNgWGopdD0y7Zh9uT9TBKBxGOaDIUhB/VTwVfxl2NPrbb79x1VVX\ntVqZGBYWxsGDBxk1apRB++tqJjg7sycigjeyslickYG2C+YoCgq+4OjRm9BodJmyZDJbwsJ+xNd3\nQY8IWCZJEgsWLOCnn35qFQVy586dbd4Pl4IQgsxXMkmdnYpQC3wX+hL2Q1iPykMqSWYEB79LSMia\nxklVpbKAhITxlJX9YmTpmtNrFfvuykquSUzkpYAA3hw40KQmSS8Wy/6WRMRE4DbdDU2VhqM3H6Xg\nS8OMRj/77DOmTJnSKjLjpEmT2Lt3LwEBPSOcaUuG2NlxICqKvysrufPECYOtVBVCS0bGC6SlzWlM\nnGxp6U1k5D+4uU29wN6mx5QpU9i7dy++vr7Nyo8dO8bo0aNJSkq65D60Ci2p96aStSQLZDBo9SCC\nVwabxCRpZ/D2nsfw4b9jbq4zH2m1tRw79i/y8j4xsmTn6JWK/auiImYkJ7Nl6FDu8zK9CZnOYGZj\nRui3ofg97YdQC9LuSyPzpcxOe8wIIXjxxReZN28emhZKb/78+fz0008mN0l6sbhbWvLXiBEI4Pqk\nJEoucUGOVqsgJeUusrOXNZbZ2Y0gKuogDg5Rlyit8RgxYgSHDh0iOjq6WXl+fj7jxo3jjz/+6PSx\nVeUqkm5KomhTETI7GWE/huHzqM+FdzRxnJ0nEBm5D2vrQH2JllOnHuH06WdNwmOmVyn2s54vizIy\n+GvECG5wcTG2SAZFkkkEvR3EoI8HgQyy3sgi5e4UtBeZrV6pVHLPPfewdOnS5seXJFatWsWHH354\n0fHTTRUbMzO+HjaMa5ycGBMfz6m6uk4dR6WqICnpRoqLv2ksc3GZTGTkP1hb+55nz56Bl5cXu3fv\nZtq0ac3K5XI5kydP5osvvrjoY9Zn1BM/Np6q3VVYelkSuScStym9J+2hnd1QIiP34+BwLthiTs7b\nnDhxOxpNgxEl60WKXaXVMu/kSbaVlLA/Kopwe3tji9Rl+DzsQ/jP4cjsZBR/VUzSTUmoKjvmv11Z\nWcnNN9/cKjyAjY0N27dv5/HHH+8KkY2KTJJYOnAgz/r7Mz4xkQNVVRe1f0NDFgkJV1FVtaexzNv7\nYcLCfsTc3LQ9rC4GOzs7vvvuu1b3gEajYc6cObzyyisdfkOsPlxN/Bi950u4nW6eKKr3nKuzWFl5\nEhGxC1fXfzWWlZRsIynpepTKUqPJ1SsUu1ytZuqxY+QrFOyJiMC7B3m+dBbXya5ExkZi6WVJ1e4q\nEq5OoCH7/KOEs4tRYmJimpW7u7sTExPTarTW25jn7c26wYOZevw4O9pIKdcWcnkC8fGjqatLaSwb\nOPAtBg36CJmsd7zVNMXMzIxVq1bx7rvvtpoEXrJkCbNnz75gjJmyX8pIvDYRVbEK54nORMZGYu3X\n82LBdxQzMzvCwrbj4/NYY1l19T4SEsZSX59hFJl6vGIvUCgYn5hIgLU1P4aF4dBLTAgdwSHCgagD\nUdgOs6UuuY74MfHIE9t2U0tMTGT06NGcOHGiWfmgQYPYv39/j/N86SyTXV35NTycR06dYnVu7nnb\nlpX9RmLieJRKXUhlSbJk6NCv8Pfv/vg43c2TTz7Jt99+2yr878aNG7nllluorq5uc7/8tfkc+9cx\ntHVaPO71IPyXcMz79f7fpM5jZhVBQe8Cunujvv4U8fFjqK7u/qRCPVqxp9TWMjYhgRnu7nwaEoK5\niS6e6Uqs/a2JjI3EcbwjynwlieMTKf+zvFmb//3vf4wfP56CFn7dY8eOZd++fQQFBXWnyEZnZL9+\n7I2MZHVeHs+cPt2mO2RBwRccOzalMYa6ubkTI0b8gYfHHd0trtG47bbb+Pvvv3F1bZ7c4uz9lJ+f\n31gmhCBjcQYnHzwJWgh4KYAh64cgs7h8fpOSJOHn9yShoduQJN0DUaUqJjHxWsrKfu1WWQxy1iVJ\nulmSpDRJktIlSXreEMe8ELGVlVybmMhrgYG8EBDQ60dQ58PC2YIRf4zA/T/uaOQajk0+RuFG3Shz\n8+bNTJo0qdWCk+nTp/O///0Pt24OVWwqDLCxYV9UFAeqq5u5QwohyMx8lbS0OYCuzMrKn8jIvTg5\nXWNEiY1Dew//pKQkxowZQ0pKClqlltTZqWS/mQ1mELI2hAFLBly2v0l39+mMGPE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yZ+eJ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\nNBpNjqGFXaPRaHIMLewajUaTY/wfEYZVKpt0LrAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x271567257f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2 * np.pi, 50)\n",
    "offsets = np.linspace(0, 2 * np.pi, 4, endpoint=False)\n",
    "yy = np.transpose([np.sin(x + phi) for phi in offsets])\n",
    "default_cycler = cycler('color', ['r', 'g', 'b', 'y']) \\\n",
    "                    + cycler('linestyle', ['-', '--', ':', '-.'])\n",
    "\n",
    "plt.rc('lines', linewidth=4)\n",
    "plt.rc('axes', prop_cycle=default_cycler)\n",
    "custom_cycler = cycler('color', ['c', 'm', 'y', 'k']) \\\n",
    "    + cycler('lw', [1, 2, 3, 4])\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(nrows=2)\n",
    "ax0.plot(yy)\n",
    "ax0.set_title('Set default color cycle to rgby')\n",
    "ax1.set_prop_cycle(custom_cycler)\n",
    "ax1.plot(yy)\n",
    "ax1.set_title('Set axes color cycle to cmyk')\n",
    "\n",
    "# Add a bit more space between the two plots.\n",
    "fig.subplots_adjust(hspace=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 3D 面\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "aa=np.full((1,1000),0.3)\n",
    "#print(aa)\n",
    "bb=np.full((1,1000),0.7)\n",
    "x=np.linspace(-10,10,1000)\n",
    "y=np.linspace(-10,10,1000)\n",
    "x,y = np.meshgrid(x,y)\n",
    "z = np.dot(aa,x) + np.dot(bb,y)\n",
    "#print(z)\n",
    "ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap='rainbow')\n",
    "plt.show()  #绘制图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
